90459600 has 360 divisors, whose sum is σ = 368101440. Its totient is φ = 18585600.

The previous prime is 90459599. The next prime is 90459617. The reversal of 90459600 is 695409.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1016356 + ... + 1016444.

It is an arithmetic number, because the mean of its divisors is an integer number (1022504).

Almost surely, 2^90459600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90459600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184050720).

90459600 is an abundant number, since it is smaller than the sum of its proper divisors (277641840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90459600 is a wasteful number, since it uses less digits than its factorization.

90459600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 90459600 is about 9511.0251813356. The cubic root of 90459600 is about 448.9020144877.

The spelling of 90459600 in words is "ninety million, four hundred fifty-nine thousand, six hundred".